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3 years ago

Simplify 7 + (-3) A). -10 B). -4 C). 4 D). 10

Mathematics

1 answer:

nordsb [41]3 years ago

7 0

Answer:C

Step-by-step explanation:

7+(-3)

+X-= -

7-3= 4

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Given that cos(theta) = 8/17 and that theta lies in Quadrant IV, what is the exact value of sin 2(theta)?

Deffense [45]

Answer: $-\frac{240}{289}$

=========================================================

Explanation:

Use the pythagorean trig identity $\sin^2(\theta)+\cos^2(\theta) = 1$ and plug in the fact that $\cos(\theta) = \frac{8}{17}\\\\$

Isolating sine leads to $\sin(\theta) = -\frac{15}{17}\\\\$ . I'm skipping the steps here, but let me know if you need to see them.

The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.

Therefore,

$\sin(2\theta) = 2\sin(\theta)\cos(\theta)\\\\\sin(2\theta) = 2*\left(-\frac{15}{17}\right)*\left(\frac{8}{17}\right)\\\\\sin(2\theta) = -\frac{240}{289}\\\\$

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2 years ago

8.3.5 Ana's monthly salary was $2000 in May. In June, she received a 20% raise. In July, she received a 20% pay cut. After the t

Harman [31]

Answer:

After July, Ana's monthly salary was $1920

Step-by-step explanation:

In May, Ana's monthly salary was $2000. During the next month, the salary increased by 20%, or (0.2)(2000)

$2000+(0.2)(2000)=2000+400=2400$

So, in June, Ana's monthly salary was $2400. During the next month, the salary decreased by 20%, or (0.2)(2000)

$2400-(0.2)(2400)=2400-480=1920$

Therefore, after the two changes, Ana's monthly salary was $1920

3 0

2 years ago

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If 375 miles in 5 hours how many miles per hour

horrorfan [7]

75 mi/hr

375 ÷ 5 = 75

8 0

4 years ago

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-5x+4y=3 x=2y-15 Solve for y and x

serious [3.7K]

Answer:

x=9, y=12

Step-by-step explanation:

-5x+4y=3 --------A

x=2y-15----------B

Putting the value of x from B in A

-5(2y-15) +4y=3

-10y+75+4y=3

-6y=3-72

-6y=-72

y=72/6= 12

Putting the value of y =12 in B

x= 2(12)-15

x= 24-15

x=9

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3 years ago

20. Sofia paid $11.80 for a pen, a marker, and a binder. The marker cost $0.80 more than the pen. The binder cost 4 times as muc

7nadin3 [17]

Answer:

$1.30

Step-by-step explanation:

Let x = the cost of the pencil

Let x + .80 = the cost of the pen

Let 4(x + .80) = the cost of the binder

x + x + .80 + 4(x + .80) = 11.80

2x + .80 + 4x + 3.20 = 11.80

6x + 4.00 = 11.80

6x = 7.80

x = $1.30

x + .80 = $2.10

4(x + .80) = $8.40

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2 years ago

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